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12 votes

Tiling a 5-by-5 bathroom with L-shaped triomino tiles

The missing square has to be one of these: Demonstration that any of these is possible:
Carmeister's user avatar
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2 votes

Tiling a 5-by-5 bathroom with L-shaped triomino tiles

Here is one way
Weather Vane's user avatar
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25 votes
Accepted

Which heptomino is it obvious can't tile the plane?

The one that
RobPratt's user avatar
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11 votes

Covering a 15x15 grid with rectangles

Another proof for the lower bound:
loopy walt's user avatar
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19 votes

Covering a 15x15 grid with rectangles

Here is a proof of the lower bound of 13: Why it works (and how I found it):
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